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Finding the Third Proportional to 100,382.63 and 147,222.56

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Solution

The third proportional to 100,382.63 and 147,222.56 is: 215,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.63 : 147,222.56 = 147,222.56 : x
  2. Step 2: Convert to fraction form
    100,382.63/147,222.56 = 147,222.56/x
  3. Step 3: Cross multiply
    100,382.63x = 147,222.56 × 147,222.56
  4. Step 4: Simplify right side
    100,382.63x = 21,674,482,909.07
  5. Step 5: Solve for x
    x = 21,674,482,909.07/100,382.63
  6. Step 6: Final answer
    x = 215,918.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.